Grade 9 Math: Ellipse Worksheet
This worksheet covers key concepts related to ellipses, including their definition, standard equations, and properties, suitable for Grade 9 algebra students.
Includes
Standards
Topics
Ellipse Exploration
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Read each question carefully and provide your answers in the space provided. Show all your work for full credit.
1. What is the definition of an ellipse?
The set of all points equidistant from a fixed point.
The set of all points for which the sum of the distances to two fixed points (foci) is constant.
The set of all points for which the difference of the distances to two fixed points (foci) is constant.
A closed curve formed by intersecting a cone with a plane parallel to its base.
2. The standard form of the equation of an ellipse centered at the origin is if the major axis is horizontal.
3. The two fixed points inside an ellipse are called the .
4. Sketch an ellipse with its foci and major and minor axes clearly labeled.
5. The sum of the distances from any point on an ellipse to its two foci is constant.
True
False
6. An ellipse has its center at the origin, a major axis of length 10 along the x-axis, and a minor axis of length 6 along the y-axis. Write the standard equation of this ellipse.